Dune::InverseOperator< X, Y > Class Template Reference

Abstract base class for all solvers. More...

#include <dune/istl/solver.hh>

Public Types
typedef X	domain_type
	Type of the domain of the operator to be inverted.
typedef Y	range_type
	Type of the range of the operator to be inverted.
typedef X::field_type	field_type
	The field type of the operator.
typedef FieldTraits< field_type >::real_type	real_type
	The real type of the field type (is the same if using real numbers, but differs for std::complex)
typedef Simd::Scalar< real_type >	scalar_real_type
	scalar type underlying the field_type

Public Member Functions
virtual void	apply (X &x, Y &b, InverseOperatorResult &res)=0
	Apply inverse operator,. More...
virtual void	apply (X &x, Y &b, double reduction, InverseOperatorResult &res)=0
	apply inverse operator, with given convergence criteria. More...
virtual SolverCategory::Category	category () const =0
	Category of the solver (see SolverCategory::Category)
virtual	~InverseOperator ()
	Destructor.

Protected Member Functions
void	printHeader (std::ostream &s) const
	helper function for printing header of solver output
template<typename CountType , typename DataType >
void	printOutput (std::ostream &s, const CountType &iter, const DataType &norm, const DataType &norm_old) const
	helper function for printing solver output
template<typename CountType , typename DataType >
void	printOutput (std::ostream &s, const CountType &iter, const DataType &norm) const
	helper function for printing solver output

Detailed Description

template<class X, class Y>
class Dune::InverseOperator< X, Y >

Abstract base class for all solvers.

An InverseOperator computes the solution of \( A(x)=b\) where \( A : X \to Y \) is an operator. Note that the solver "knows" which operator to invert and which preconditioner to apply (if any). The user is only interested in inverting the operator. InverseOperator might be a Newton scheme, a Krylov subspace method, or a direct solver or just anything.

Member Function Documentation

apply() [1/2]

template<class X , class Y >

virtual void Dune::InverseOperator< X, Y >::apply ( X &  x, Y &  b, double  reduction, InverseOperatorResult &  res  )

pure virtual

apply inverse operator, with given convergence criteria.

Warning

Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort

When the solver detects a problem and cannot continue

Implemented in Dune::Cholmod< Vector, Index >, Dune::IterativeSolver< X, X >, and Dune::RestartedGMResSolver< X, X >.

apply() [2/2]

template<class X , class Y >

virtual void Dune::InverseOperator< X, Y >::apply ( X &  x, Y &  b, InverseOperatorResult &  res  )

pure virtual

Apply inverse operator,.

Warning

Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort

When the solver detects a problem and cannot continue

Implemented in Dune::Cholmod< Vector, Index >, Dune::LoopSolver< X >, Dune::GradientSolver< X >, Dune::CGSolver< X >, Dune::BiCGSTABSolver< X >, Dune::MINRESSolver< X >, Dune::RestartedGMResSolver< X, X >, Dune::GeneralizedPCGSolver< X >, Dune::RestartedFCGSolver< X >, and Dune::CompleteFCGSolver< X >.

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The documentation for this class was generated from the following file:

• dune/istl/solver.hh